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Finding the Third Proportional to 57,832,920 and 77,101,956

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Solution

The third proportional to 57,832,920 and 77,101,956 is: 102,791,137.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,832,920 : 77,101,956 = 77,101,956 : x
  2. Step 2: Convert to fraction form
    57,832,920/77,101,956 = 77,101,956/x
  3. Step 3: Cross multiply
    57,832,920x = 77,101,956 × 77,101,956
  4. Step 4: Simplify right side
    57,832,920x = 5,944,711,619,025,936
  5. Step 5: Solve for x
    x = 5,944,711,619,025,936/57,832,920
  6. Step 6: Final answer
    x = 102,791,137.28

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.